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Global error estimation for stiff ODEs

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1066))

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References

  1. R. Alexander, Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s, SIAM J. Numer. Anal. 6 (1977) 1006–1021.

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  2. T. D. Bui, Some A-stable and L-stable methods for the numerical integration of stiff ordinary differential equations, J. ACM 26 (1979) 483–493.

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  3. G. Dahlquist, Stability and error bounds in the numerical integration of ordinary differential equations, Trans. Royal Inst. Technology, Stockholm, 130 (1959).

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  4. A. Prothero, Estimating the accuracy of numerical solutions to ordinary differential equations, pp. 103–128 in I. Gladwell and D. K. Sayers, eds., Computational Techniques for Ordinary Differ-ential Equations, Academic, London, 1980.

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  5. A. Robinson and A. Prothero, Global error estimates for solutions to stiff systems of ordinary differential equations, contributed paper, Dundee Numerical Analysis Conference, 1977.

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  6. L. F. Shampine, Global error estimation for stiff ODEs, Rept. SAND79-1587, Sandia National Laboratories, Albuquerque, NM, 1979.

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  7. H. J. Stetter, Global error estimation in ODE-solvers, pp. 179–189 in Lecture Notes in Mathematics, 630, Springer, Berlin, 1978.

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Authors
  1. Lawrence F. Shampine
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David F. Griffiths

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© 1984 Springer-Verlag

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Shampine, L.F. (1984). Global error estimation for stiff ODEs. In: Griffiths, D.F. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099523

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  • DOI: https://doi.org/10.1007/BFb0099523

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13344-5

  • Online ISBN: 978-3-540-38881-4

  • eBook Packages: Springer Book Archive

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